Module 3: Polynomial Functions

Learning Objectives

1.  Define and Graph polynomial functions
2.  Identify properties of graphs of polynomial functions
3.  Determine the real zeros of polynomial functions
4.  Construct the general shape of polynomial functions
5.  Use the Intermediate Value Theorem

6.  Use the division algorithm
7.  Develop the tool of synthetic division
8.  Use the Factor and Remainder Theorems
9.  Solve polynomial application problems.

10.  Use Descartes Rule of Signs and the Rational Zero Test
11.  Identify the upper and lower bounds on the real zeros of a polynomial

12.  Determine all the zeros of a polynomial function (real and complex)
13.  Find a polynomial with given zeros (1-4).  Factor a polynomial